-15 points Aak Your Teacher hy Notes O An AC generator delivers an rms current o

Question

-15 points Aak Your Teacher hy Notes O An AC generator delivers an rms current of 3.10 A to a 7.00F capacitor connected in series. The frequency of the source emf is 63.0 Hz. (a) What is the capacitive reactance of the drcuit? (b) What is the rms emf of the generator? (c) What are the maximum values of the current and the source emf? max- (d) Write a function for the potential difference across the capacitor as a function of time. (Assume Vc(0)-0. Use the following as necessary: t. Do not use other variables, substitute numeric values. Assume that Vc is in volts and tis in seconds. Do not indude units in your answer.) Volt) = Need Help?Read It Submit Answer | Save Progress Practice Another Version

Explanation / Answer

(A) Xc = 1 / (2 pi f c)

= 1 / (2 x pi x 7 x 10^-6 x 63)

= 360.9 ohm

(B) Vrms = Irms Xc = 1119 Volt

(c) Imax = sqrt(2)Irms = 4.38 A

V_max = 1582 Volt

(d) Vc = 1582 sin(2 pi 63 t) = 1582 sin(126 pi t)

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